Asked by JULIA
Given that f(-0.5)=2 and f'(-0.5)=4, use a tangent line approximation to estimate f(0).
The lesson is not very clear on what a tangent line approximaton is.
The lesson is not very clear on what a tangent line approximaton is.
Answers
Answered by
drwls
The tangent line approximation is:
f(x) = f(a) + (x-a)*f'(a)
It is the formula for a straight line that goes through x = a with the slope of f(x) at x=a.
Let a = -0.5 and x = 0
f(0) = 2 + (0.5)*4 = 4
f(x) = f(a) + (x-a)*f'(a)
It is the formula for a straight line that goes through x = a with the slope of f(x) at x=a.
Let a = -0.5 and x = 0
f(0) = 2 + (0.5)*4 = 4
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.